41893902400 has 567 divisors, whose sum is σ = 130415514759. Its totient is φ = 13204316160.

The previous prime is 41893902361. The next prime is 41893902409. The reversal of 41893902400 is 420939814.

The square root of 41893902400 is 204680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 979940416 + 40913961984 = 31304^2 + 202272^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41893902409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 974276779 + ... + 974276821.

Almost surely, 2^41893902400 is an apocalyptic number.

41893902400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41893902400 is the 204680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41893902400

41893902400 is an abundant number, since it is smaller than the sum of its proper divisors (88521612359).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41893902400 is a wasteful number, since it uses less digits than its factorization.

41893902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 41893902400 in words is "forty-one billion, eight hundred ninety-three million, nine hundred two thousand, four hundred".